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Finding the Fourth Proportional to 9,679.60, 14,519.45 and 2,659.74

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Solution

The fourth proportional to 9,679.60, 14,519.45 and 2,659.74 is: 3,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.60 : 14,519.45 = 2,659.74 : x
  2. Step 2: Convert to fraction form
    9,679.60/14,519.45 = 2,659.74/x
  3. Step 3: Cross multiply
    9,679.60x = 14,519.45 × 2,659.74
  4. Step 4: Simplify right side
    9,679.60x = 38,617,961.94
  5. Step 5: Solve for x
    x = 38,617,961.94/9,679.60
  6. Step 6: Final answer
    x = 3,989.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.